Evidence map›Paper›PMID 41686244›Full record

ArticleJournal of mathematical biology2026

The adaptation property in non-equilibrium chemical systems.

E Franco, J J L Velázquez

Abstract read
In one paragraph

Article in Journal of mathematical biology, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

  1. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

2 authors.

E FrancoUniversity of Bonn: Rheinische Friedrich-Wilhelms-Universitat Bonn, Bonn, Germany. franco@iam.uni-bonn.de.ORCID http://orcid.org/0000-0002-5311-2124
J J L VelázquezUniversity of Bonn: Rheinische Friedrich-Wilhelms-Universitat Bonn, Bonn, Germany.

Funding

CRC 1060 project-ID 211504053CRC 1720 539309657Germany's Excellence StrategyEXC2047/1-390685813 1-390685813
6 · The paper itself

Abstract

The goal of this paper is to understand the relationship between the property of adaptation (i.e. the insensitivity of the concentration of some substances on the change of the concentration of some chemical signals) and the absence of thermal equilibrium of the system. We prove that, unless the conserved quantities of a signalling system satisfy a very specific factorization assumption, adaptation cannot be achieved in a robust manner by a general class of systems that satisfy the detailed balance property and that do not exchange substances or energy with the environment. We also prove that robust adaptation can be achieved by systems that satisfy the detailed balance property, but exchange substances with the environment. We also recover classical adaptation mechanisms freezing the concentrations of some substances in systems with mass conservation and with detailed balance in some suitable limit regimes.

Indexed as

Adaptation, PhysiologicalModels, BiologicalAnimalsMathematical ConceptsSignal TransductionAdaptation propertyDetailed balance.Non-equilibrium systems

Identifiers

PMID41686244
PMCPMC12904981

What Socratic holds

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LicenceCC BY
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Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the Socratic graph.